48x^3y-3xy^3=0

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Solution for 48x^3y-3xy^3=0 equation: 


Simplifying
48x3y + -3xy3 = 0

Reorder the terms:
-3xy3 + 48x3y = 0

Solving
-3xy3 + 48x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-1y2 + 16x2) = 0

Factor a difference between two squares.
3xy((y + 4x)(-1y + 4x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(y + 4x)' equal to zero and attempt to solve:

Simplifying
y + 4x = 0

Reorder the terms:
4x + y = 0

Solving
4x + y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y

Subproblem 3
Set the factor '(-1y + 4x)' equal to zero and attempt to solve:

Simplifying
-1y + 4x = 0

Reorder the terms:
4x + -1y = 0

Solving
4x + -1y = 0

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
4x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
4x + 0 = 0 + y
4x = 0 + y
Remove the zero:
4x = y

Divide each side by '4'.
x = 0.25y

Simplifying
x = 0.25y
Solution
x = {-0.25y, 0.25y}

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